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2131000022312 = 237831601286369
BaseRepresentation
bin11111000000101001011…
…111111101010100101000
321112201111001111111022022
4133000221133331110220
5234403242001203222
64310545022044012
7306650111215250
oct37005137752450
97481431444268
102131000022312
1175182aa59537
122a5003719608
13125c4c683285
14751d8ab0960
153a673a29042
hex1f0297fd528

2131000022312 has 64 divisors (see below), whose sum is σ = 4624348579200. Its totient is φ = 901715558400.

The previous prime is 2131000022311. The next prime is 2131000022351. The reversal of 2131000022312 is 2132200001312.

It is a super-2 number, since 2×21310000223122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131000022311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7298264 + ... + 7584632.

It is an arithmetic number, because the mean of its divisors is an integer number (72255446550).

Almost surely, 22131000022312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131000022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312174289600).

2131000022312 is an abundant number, since it is smaller than the sum of its proper divisors (2493348556888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131000022312 is a wasteful number, since it uses less digits than its factorization.

2131000022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288066 (or 288062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2131000022312 its reverse (2132200001312), we get a palindrome (4263200023624).

The spelling of 2131000022312 in words is "two trillion, one hundred thirty-one billion, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 1601 2324 3202 4648 6404 11207 12808 22414 44828 89656 132883 265766 286369 531532 572738 930181 1063064 1145476 1860362 2004583 2290952 3720724 4009166 7441448 8018332 16036664 23768627 47537254 95074508 166380389 190149016 332760778 458476769 665521556 916953538 1331043112 1833907076 3209337383 3667814152 6418674766 12837349532 25674699064 38053571827 76107143654 152214287308 266375002789 304428574616 532750005578 1065500011156 2131000022312